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Finding the Fourth Proportional to 137,821.64, 206,880.08 and 108,444.76

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Solution

The fourth proportional to 137,821.64, 206,880.08 and 108,444.76 is: 162,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,821.64 : 206,880.08 = 108,444.76 : x
  2. Step 2: Convert to fraction form
    137,821.64/206,880.08 = 108,444.76/x
  3. Step 3: Cross multiply
    137,821.64x = 206,880.08 × 108,444.76
  4. Step 4: Simplify right side
    137,821.64x = 22,435,059,564.96
  5. Step 5: Solve for x
    x = 22,435,059,564.96/137,821.64
  6. Step 6: Final answer
    x = 162,783.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.